21013414632220 has 192 divisors, whose sum is σ = 49304260438272. Its totient is φ = 7481999360000.

The previous prime is 21013414632209. The next prime is 21013414632227. The reversal of 21013414632220 is 2223641431012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21013414632227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 601035540 + ... + 601070500.

It is an arithmetic number, because the mean of its divisors is an integer number (256793023116).

Almost surely, 2^{21013414632220} is an apocalyptic number.

21013414632220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21013414632220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24652130219136).

21013414632220 is an abundant number, since it is smaller than the sum of its proper divisors (28290845806052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21013414632220 is a wasteful number, since it uses less digits than its factorization.

21013414632220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35872 (or 35870 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 21013414632220 in words is "twenty-one trillion, thirteen billion, four hundred fourteen million, six hundred thirty-two thousand, two hundred twenty".